Control of Complex Nonlinear Systems with Delay

This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the co...

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Bibliographic Details
Main Author: Hövel, Philipp. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research,
Subjects:
Online Access:View fulltext via EzAccess
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245 1 0 |a Control of Complex Nonlinear Systems with Delay  |c by Philipp Hövel.  |h [electronic resource] / 
264 # 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2010. 
300 # # |a XVI, 253 p.  |b online resource. 
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490 1 # |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5053 
505 0 # |a Conclusion. Abstract. Introduction. Time-Delayed Feedback Control -- Control of Steady States -- Refuting the Odd Number Limitation Theorem -- Control of Neutral Delay-Differential Equations -- Neural Systems -- Summary and Outlook -- List of Figures -- List of Tables -- Bibliography -- Acknowledgements- Index. 
520 # # |a This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems. 
650 # 0 |a Physics. 
650 # 0 |a Statistical physics. 
650 # 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
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